551952768 has 128 divisors (see below), whose sum is σ = 1527552000. Its totient is φ = 176394240.

The previous prime is 551952763. The next prime is 551952809. The reversal of 551952768 is 867259155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (756000) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551952763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2368780 + ... + 2369012.

It is an arithmetic number, because the mean of its divisors is an integer number (11934000).

Almost surely, 2^551952768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763776000).

551952768 is an abundant number, since it is smaller than the sum of its proper divisors (975599232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

551952768 is a wasteful number, since it uses less digits than its factorization.

551952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its digits is 756000, while the sum is 48.

The square root of 551952768 is about 23493.6750637273. The cubic root of 551952768 is about 820.2897885144.

The spelling of 551952768 in words is "five hundred fifty-one million, nine hundred fifty-two thousand, seven hundred sixty-eight".